Calculating Gyroscope Torque for Stabilization Design

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    Gyroscope Torque
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SUMMARY

This discussion focuses on calculating the torque resistance of a gyroscope when an applied torque is perpendicular to its spin axis, specifically in the context of designing a stabilization system for a two-wheeled vehicle. The user seeks a formula that relates applied torque, angular velocity about the perpendicular axis, and angular momentum about the spin axis without delving into complex cross products. The goal is to achieve self-stabilization against moderate impacts, similar to the capabilities demonstrated in a referenced video from Thrust Cycle.

PREREQUISITES
  • Understanding of gyroscopic principles and mechanics
  • Familiarity with torque calculations and angular momentum
  • Basic knowledge of vehicle dynamics and stabilization techniques
  • Experience with mathematical modeling in physics
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  • Research the relationship between torque and angular momentum in gyroscopes
  • Explore the dynamics of two-wheeled vehicle stabilization systems
  • Learn about gyroscopic precession and its applications in stabilization
  • Investigate simulation tools for modeling gyroscopic effects in vehicles
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Engineers, physicists, and hobbyists involved in vehicle design, particularly those focused on stabilization technologies and gyroscopic applications.

mullenc525
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Hello,

I think what i have is a simple question and yet it is not answered by most of the articles on gyroscopes.

I am wondering how I can calculate the amount of resistance a gyroscope develops to an applied torque on the primary axis when the secondary axis is fixed. Ie, torque is applied perpendicular to the spin axis, and this axis perpendicular to the spin axis is the only degree of freedom of the gyro.

I am guessing the applied torque, angular velocity about the perpendicular axis, and angular momentum about the spin axis are related through a simple formula - I don't want to work my way through all the cross products though!

I am using this to design a gyro to stabilize a 2 wheeled vehicle. I want the vehicle to be able to self stabilize against a moderate impact such as another vehicle of similar size colliding with it at low speed.

Cheers!
 
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Basically I want to build something that has similar capabilities to the vehicle in the video on this page: http://thrustcycle.com/ See about second 44. I'm trying to estimate what sort of angular momentum that gyro has.
 

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